Answer:
Step-by-step explanation: Final answer:
The ratio of votes for Candidate B to Candidate A, in simplest form, is 7:5, meaning for every 7 votes for Candidate B, there are 5 votes for Candidate A.
Explanation:
To express the quantities given in ratio language, we must first understand that a ratio compares two quantities, which can be written as fractions, with a colon, or with the word "to." In this case, we're comparing the number of votes cast for Candidate B to the number of votes cast for Candidate A. Candidate A received 35 votes, while Candidate B received 49 votes. To simplify this ratio to its simplest form, we find the greatest common divisor (GCD) of the two numbers, which in this case is 7. We divide each number by 7, yielding:
35 ÷ 7 = 5 for Candidate A
49 ÷ 7 = 7 for Candidate B
Thus, the simplified ratio of votes cast for Candidate B to votes cast for Candidate A is 7:5. In other words, for every 7 votes cast for Candidate B, there were 5 votes cast for Candidate A.
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